Answer: B
Explanation:
32 marbles in total.
18 red marbles
4 blue marbles
10 green marbles.
You are asked what part of Osteen's marbles are red?
Probability = number of possible outcomes/total number of out outcomes.
P(Red) = 18/32 = 9/16
Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.
P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.
P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.
Hope this elaborate explanation helps.
Answer:
$87.90
Step-by-step explanation:
Let the amount of money Hashim had be $Y. As such, if he gives his mother $28, he would have $Y - $28 left.
If he had $15.20 less than his sister and his sister had $75.10, then we can say that what he had left $Y - $28 is equivalent to the difference between $75.10 and $15.20.
This is
$Y - $28 = $75.10 - $15.20
Y = $28 + $75.10 - $15.20
= $87.90
Using the given function, it is found that:
a) She earns $36 after 26 years.
b) The original function was shifted 3 units to the right and 1 unit up.
<h3>What is the function?</h3>
Her profit in x years after 2015 is given by:
![g(x) = 12\sqrt[3]{x + 1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%201%7D)
Item a:
She earns $36 after x years, considering that g(x) = 36, hence:
![g(x) = 12\sqrt[3]{x + 1}](https://tex.z-dn.net/?f=g%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%201%7D)
![36 = 12\sqrt[3]{x + 1}](https://tex.z-dn.net/?f=36%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%201%7D)
![\sqrt[3]{x + 1} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%20%3D%203)
![(\sqrt[3]{x + 1})^3 = 3^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%29%5E3%20%3D%203%5E3)
![x + 1 = 27](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%2027)
![x = 26](https://tex.z-dn.net/?f=x%20%3D%2026)
She earns $36 after 26 years.
Item b:
The new function is:
![h(x) = 12\sqrt[3]{x - 2} + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20-%202%7D%20%2B%201)
Which can be basically written as:
![h(x) = f(x - 3) + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%20f%28x%20-%203%29%20%2B%201)
Hence the original function was shifted 3 units to the right and 1 unit up.
More can be learned about functions at brainly.com/question/25537936
Answer:
f(7) = -40
Step-by-step explanation:
f(x) = -22 – 3x + 3
Let x = 7
f(7) = -22 – 3*7 + 3
= -22 -21 +3
= - 40
The answer is C. n>52
hope this helps :D